Freya is training for a track race. she starts by sprinting 200 yards. she gradually increases her distance, adding 5 yards a day for 21 days. the explicit formula that models this situation is an = 200 + (n – 1)5. how far does she sprint on day 21? a. 300 yards b. 305 yards c. 205 yards d. 221 yards

Solution:

we are given that

Freya is training for a track race. She starts by sprinting 200 yards. She gradually increases her distance, adding 5 yards a day for 21 days.

The explicit formula that models this situation is

we have been asked to find how far does she sprint on day 21?

Substitute the value of n=21 in the given explicit formula we get

Simplify we get

Hence the correct option is A.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.